Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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26 matches:

  1.    wt: 6:   13 Lessons on Limits and Continuity/
  2.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  3.    wt: 5:   5 Lessons on Integration/
  4.    wt: 5:   4 Lessons on Using Derivatives/
  5.    wt: 5:   38 Lessons on Calculating Derivatives/
  6.    wt: 4:   70 Calculus Starter Lessons/
  7.    wt: 2:   B Real Numbers Extrinsic Development/
  8.    wt: 2:   A Origins of Counting and Figuring Methods/
  9.    wt: 2:   10 Examples of Algebraic Reasoning/
  10.    wt: 2:   9 Proportionality Backwards and Forwards/
  11.    wt: 2:   8 Unifying Theme For Algebra/
  12.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  13.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  14.    wt: 2:   5 Real Numbers/
  15.    wt: 2:   4 Computation Rules and Function Notation/
  16.    wt: 2:   Step 4 Gaussian Elimination/
  17.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  18.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   3 Solving Linear Equations/
  21.    wt: 2:   2 Formula Forward Use Evaluation/
  22.    wt: 2:   1 Working With Sets/
  23.    wt: 2:   Algebra Starter Lessons/
  24.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  25.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  26.    wt: 1:   Mathematics 506 Lessons/

Web Page Search

63 matches:

  1.    wt: 2:   1 Numerical introduction
  2.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  3.    wt: 2:   Chapter 3 Algebra Starter Lessons
  4.    wt: 1:   J LAMP Introduction Extrinsic Origins
  5.    wt: 1:   I LAMP Introduction Study Habits
  6.    wt: 1:   H LAMP Introduction Instructional Concepts
  7.    wt: 1:   G LAMP Introduction Problem Solving Skills
  8.    wt: 1:   F LAMP Introduction Prerequisites
  9.    wt: 1:   E LAMP Introduction Modern Mathematics
  10.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  11.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  12.    wt: 1:   A Introduction Objectives
  13.    wt: 1:   Skills Chapter 5 Calculus
  14.    wt: 1:   Ramblings Introduction Algebra Essay
  15.    wt: 1:   Skills Chapter 0 Introduction
  16.    wt: 1:   chapitre 01 00 Introduction
  17.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  18.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  19.    wt: 1:   1 Geometric Introduction of Function Notation
  20.    wt: 1:   Introduction Reading Guide
  21.    wt: 1:   6 quadratics numerical approach
  22.    wt: 1:   1 Calculator Starter Exercises
  23.    wt: 1:   7 Links Lessons Elsewhere
  24.    wt: 1:   2 Radian Measure Numerical Value of one degree
  25.    wt: 1:   1 Degrees and Radians Introduction
  26.    wt: 1:   12 Links Lessons elsewhere
  27.    wt: 1:   1 Numerical view of lines and their equations
  28.    wt: 1:   5 Algebraic Solutions Introduction
  29.    wt: 1:   7 Compound Interest Formula Introduction
  30.    wt: 1:   1 Squares and Square Roots Introduction
  31.    wt: 1:   2 Least Common Multiple LCM intro via list method
  32.    wt: 1:   1 Least Common Multiples LCM Introduction
  33.    wt: 1:   4 video Prime Factorization Introduction
  34.    wt: 1:   1 Intro of Kids To Time Date Skills
  35.    wt: 1:   A Related lessons in Volume 3
  36.    wt: 1:   18 Chain Rule Introduction
  37.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  38.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  39.    wt: 1:   11 Limits at infinity Three Examples
  40.    wt: 1:   10 Three one sided limits with infinite values
  41.    wt: 1:   9 Limits Continuity and Composition
  42.    wt: 1:   4 Numerical properties
  43.    wt: 1:   3 Decimal insights for limits continuity convergence
  44.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  45.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  46.    wt: 1:   E2 Algebraic Properties of Limits
  47.    wt: 1:   D2 Limits of Monotone Sequences
  48.    wt: 1:   A1. Introduction
  49.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  50.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  51.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  52.    wt: 1:   Chapter 9 About First Courses in Calculus
  53.    wt: 1:   Chapter 1.Introduction
  54.    wt: 1:   Fall 1983 Calculus Appetizer
  55.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  56.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  57.    wt: 1:   Chapter 1 Introduction
  58.    wt: 1:   Chapter 1 Introduction
  59.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  60.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  61.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  62.    wt: 1:   More Algebra and Slope based Calculus Preview
  63.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

319 matches:

  1.    wt: 8:   1 Numerical introduction
  2.    wt: 7:   13 Limits with Parameters and Derivatives Take II
  3.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  4.    wt: 7:   11 Limits at infinity Three Examples
  5.    wt: 7:   10 Three one sided limits with infinite values
  6.    wt: 7:   9 Limits Continuity and Composition
  7.    wt: 7:   4 Numerical properties
  8.    wt: 7:   3 Decimal insights for limits continuity convergence
  9.    wt: 6:   A Related lessons in Volume 3
  10.    wt: 6:   18 Chain Rule Introduction
  11.    wt: 6:   8 Four Animated Examples
  12.    wt: 6:   7 Evaluation by immediate or delayed substitution
  13.    wt: 6:   6 Continuity at a point
  14.    wt: 6:   5 Jumps and absence of unlimited error control
  15.    wt: 6:   2 Algebraic codification
  16.    wt: 5:   Example 2 volume of a cone
  17.    wt: 5:   Example 1 volume of a pyramid
  18.    wt: 5:   Volume of Solid by Cross Sections Lesson
  19.    wt: 5:   Example 1. Area Between x and x squared
  20.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  21.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  22.    wt: 5:   Example 4 with x function of y
  23.    wt: 5:   Example 3
  24.    wt: 5:   Example 2
  25.    wt: 5:   Example 1
  26.    wt: 5:   Area Between Curves Lesson Take 2
  27.    wt: 5:   Area Between Curves Lesson Take 1
  28.    wt: 5:   Summary
  29.    wt: 5:   A Related Material in Volume 3
  30.    wt: 5:   5 Area Under Curve Exercise
  31.    wt: 5:   4 Definite Integrals Evaluation Exercises
  32.    wt: 5:   3 Two Chain Rule Method Exercises
  33.    wt: 5:   2 Indefinite Integrals Exercises
  34.    wt: 5:   1 Chain Rule in Reverse Integration Method
  35.    wt: 5:   4 Second derivative test exercise example
  36.    wt: 5:   3 Second derivative test
  37.    wt: 5:   2 Second derivative test prequel
  38.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  39.    wt: 5:   A Chain Rule Real Player video examples
  40.    wt: 5:   38 Formulas and derivatives for powers and roots
  41.    wt: 5:   36 Cube root derivative animated
  42.    wt: 5:   34 Derivative of exponential function
  43.    wt: 5:   33 Chain Rule Real Player video examples
  44.    wt: 5:   31 Derivatives of inverse functions
  45.    wt: 5:   30Chain Rule A Proof
  46.    wt: 5:   29 Chain Rule Optional Reading
  47.    wt: 5:   28 Chain Rule Preparation for a Proof
  48.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  49.    wt: 5:   26 Chain Rule Recognising outer inner functions
  50.    wt: 5:   25 Chain Rule Animated Examples Continued
  51.    wt: 5:   24 Chain Rule Animated Examples
  52.    wt: 5:   23 Chain Rule in general
  53.    wt: 5:   22 Chain Rule for polynomials
  54.    wt: 5:   21 Chain Rule for powers
  55.    wt: 5:   20 Chain Rule for Pulley Systems
  56.    wt: 5:   19 Chain Rule for linear functions
  57.    wt: 5:   17 Derivatives of quotients of sine and cosine
  58.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  59.    wt: 5:   15 sine and cosine derivatives 3rd step
  60.    wt: 5:   14 sine and cosine derivatives 2nd step
  61.    wt: 5:   13 sine and cosine derivatives 1st step
  62.    wt: 5:   12 Quotient rule examples
  63.    wt: 5:   11 Quotient rule
  64.    wt: 5:   10 Power rule for negative integers
  65.    wt: 5:   9 Reciprocal rule
  66.    wt: 5:   8 Differentiation of polynomials
  67.    wt: 5:   7 Animated Differentiation Examples
  68.    wt: 5:   6 Power rule from product rule
  69.    wt: 5:   5 Product Rule
  70.    wt: 5:   4 Sum Rule
  71.    wt: 5:   3 Motivation for Limit Definition Take 2
  72.    wt: 5:   2 Motivation for Limit Definition Take 1
  73.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  74.    wt: 3:   5 Algebraic Solutions Introduction
  75.    wt: 3:   7 Compound Interest Formula Introduction
  76.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  77.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  78.    wt: 3:   Chapter 9 About First Courses in Calculus
  79.    wt: 3:   Chapter 1.Introduction
  80.    wt: 3:   Fall 1983 Calculus Appetizer
  81.    wt: 2:   musings do not puiblish real numbers
  82.    wt: 2:   A Modular and Remainder Arithmetic
  83.    wt: 2:   A Signed Number Arithmetic Review
  84.    wt: 2:   26 More Less Greater Than Comparison
  85.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  86.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  87.    wt: 2:   23 Distributive Law Two Derivations
  88.    wt: 2:   22 Multiplication of Signed Numbers
  89.    wt: 2:   21 Addition of Multiples of a Single Vector
  90.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  91.    wt: 2:   19 Signed Multiples of Vectors
  92.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  93.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  94.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  95.    wt: 2:   15 Head to Tails in place Addition Associative
  96.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  97.    wt: 2:   13 Arrows and Vectors in a Plane
  98.    wt: 2:   12 Real Numbers Line Signed Coordinates
  99.    wt: 2:   11 Signed Number Addition and Addition Properties
  100.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  101.    wt: 2:   9 Division with Digits after Decimal Point
  102.    wt: 2:   8 Division and Mulplication of Compound Fractions
  103.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  104.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  105.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  106.    wt: 2:   4 Location of Point in Decimal Addition
  107.    wt: 2:   3 Location of Point in Decimal Multiplication
  108.    wt: 2:   2 Counting Digits in Decimal Multiplication
  109.    wt: 2:   1 Fractions with Finite Decimal Expansions
  110.    wt: 2:   E Long Division Methods more
  111.    wt: 2:   D Long Division Methods
  112.    wt: 2:   C Three Decimal Subtraction Methods
  113.    wt: 2:   B Decimal Comparison and Subtraction
  114.    wt: 2:   A Decimal Addition Columm Methods
  115.    wt: 2:   8 Column Multiplication Methods in General
  116.    wt: 2:   7 Decimals Multiplication Methods Examples
  117.    wt: 2:   6 Column Methods for Decimal Multiplication
  118.    wt: 2:   5 Distributive Law for Whole Numbers
  119.    wt: 2:   4 Commutative Law Groups Counting Form
  120.    wt: 2:   3 Multiplicative Counting Skills Principles
  121.    wt: 2:   2 Combing Counts Addition Skills and Principles
  122.    wt: 2:   1 The Counting Origins of Numbers
  123.    wt: 2:   5 Areas of Rectangles Revisited
  124.    wt: 2:   4 Fraction Operations Axiomatic Development
  125.    wt: 2:   3 Inequalities Algebraically
  126.    wt: 2:   2 Fraction Operations Physical Development
  127.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  128.    wt: 2:   5 Proportionality in Equivalent Fractions
  129.    wt: 2:   4 Rates Ratios and Proporitionality
  130.    wt: 2:   3 Proportionality Examples
  131.    wt: 2:   2 Algebraic View
  132.    wt: 2:   1 What is Proportionality
  133.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  134.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  135.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  136.    wt: 2:   6 Compound Interest Forward and Backwards
  137.    wt: 2:   5 Triangle Area Formula Backwards
  138.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  139.    wt: 2:   3 Linear Equation Literal Solution More
  140.    wt: 2:   2 Linear Equation Literal Solution
  141.    wt: 2:   1 Changing Calculations
  142.    wt: 2:   6 Equations and Systems Equivalent or Implied
  143.    wt: 2:   5 Equality in Algebra
  144.    wt: 2:   4 Subtraction and Division Axioms
  145.    wt: 2:   3 Product Axioms Two Forms
  146.    wt: 2:   2 Addition and Multiplication Axioms
  147.    wt: 2:   1 Equivalent Computation Rules
  148.    wt: 2:   5 Greater More Less Than Signs in General
  149.    wt: 2:   4 Comparison of Negative Numbers
  150.    wt: 2:   3 More and Less Than with Unlike Signs
  151.    wt: 2:   2 More and Less Than for Counts and Measures
  152.    wt: 2:   1 Real Numbers Comparison
  153.    wt: 2:   16 Real Numbers Comparison
  154.    wt: 2:   15 Real Number Division
  155.    wt: 2:   14 Real Number Multiplication
  156.    wt: 2:   13 Real Number Subtraction
  157.    wt: 2:   12 Real Number Additive Inverses or Negatives
  158.    wt: 2:   11 Real Number Addition
  159.    wt: 2:   10 Real Number Lengths and Signs
  160.    wt: 2:   9 Coordinates for Regions in Space
  161.    wt: 2:   8 Coordinates for Maps and Planes
  162.    wt: 2:   7 Real Numbers as Line Cordinates
  163.    wt: 2:   6 Unsigned Real Numbers
  164.    wt: 2:   5 Rational Numbers More
  165.    wt: 2:   4 Rational Numbers
  166.    wt: 2:   3 Fractions
  167.    wt: 2:   2 Integers
  168.    wt: 2:   1 Whole and Natural Numbers
  169.    wt: 2:   5 Independent versus Dependent Variables
  170.    wt: 2:   4 Changing Letters
  171.    wt: 2:   3 Geometric Formulas and Function Notation
  172.    wt: 2:   2 Computation Rules Evaluation
  173.    wt: 2:   1 Formulas Dependence and Function Notation
  174.    wt: 2:   More Exercises
  175.    wt: 2:   Simple Exercises
  176.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  177.    wt: 2:   4 GE III Animated Examples
  178.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  179.    wt: 2:   3 GE III Equation Addition and Multiplication
  180.    wt: 2:   2 GE II Comparison
  181.    wt: 2:   1 GE Substitution four examples
  182.    wt: 2:   4 Solving a triangular system exercise
  183.    wt: 2:   3 Solving triangular system example
  184.    wt: 2:   2 Essentially one exercises three with solution
  185.    wt: 2:   1 Essentially One Unknown
  186.    wt: 2:   6 Algebraic Solution Example
  187.    wt: 2:   4 Four Examples Fractional Coefficients
  188.    wt: 2:   3 Four Examples
  189.    wt: 2:   2 Three Examples
  190.    wt: 2:   1 Proper Equal Sign Usage
  191.    wt: 2:   Skill Development Notes
  192.    wt: 2:   10 One Example
  193.    wt: 2:   9 Three Examples
  194.    wt: 2:   8 One Example
  195.    wt: 2:   7 Two Examples
  196.    wt: 2:   6 Three Examples
  197.    wt: 2:   5 Three Examples
  198.    wt: 2:   4 Two Examples
  199.    wt: 2:   3 Two Examples
  200.    wt: 2:   2 Three Examples
  201.    wt: 2:   Using Letters for Physical Quantities
  202.    wt: 2:   Formula Usage Show Work Format
  203.    wt: 2:   13 Naming Identifying Formulas with Words
  204.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  205.    wt: 2:   11 Volume of Sphere
  206.    wt: 2:   10 Volume of Pyramid
  207.    wt: 2:   9 Volume of Cone
  208.    wt: 2:   8 Compound Interest Formula Evaluation
  209.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  210.    wt: 2:   5 Box Volume Formula Example
  211.    wt: 2:   4 Circle Area Formula Example
  212.    wt: 2:   3 Triangle Area Formula Example
  213.    wt: 2:   2 Another Rectangle Area Formula Example
  214.    wt: 2:   1 Written work formats for developing and showing skill
  215.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  216.    wt: 2:   9 Sets in Probability and Statistics
  217.    wt: 2:   8 Sets of Numbers
  218.    wt: 2:   7 Cautious or Safe Set Construction
  219.    wt: 2:   6 Power Set Notation
  220.    wt: 2:   5 Product Builder Notation
  221.    wt: 2:   4 Subset Builder Notation
  222.    wt: 2:   3 Counting with Sets etc
  223.    wt: 2:   2 Venn Diagrams
  224.    wt: 2:   1 Finite Sets
  225.    wt: 2:   6 Three Notions of What is a Variable
  226.    wt: 2:   5 Talking about Numbers and Quantities
  227.    wt: 2:   4 A Brief Story of numbers and algebra
  228.    wt: 2:   3 Adding Words To Arithmetic
  229.    wt: 2:   2 What is a Variable
  230.    wt: 2:   1 Three Skills For Algebra
  231.    wt: 2:   About Folder Contents
  232.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  233.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  234.    wt: 2:   E2 Algebraic Properties of Limits
  235.    wt: 2:   D2 Limits of Monotone Sequences
  236.    wt: 2:   A1. Introduction
  237.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  238.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  239.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  240.    wt: 2:   Chapter 23 Links To Trigonometry
  241.    wt: 2:   Chapter 22 Complex Numbers
  242.    wt: 2:   Chapter 21 Arrow Addition
  243.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  244.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  245.    wt: 2:   Chapter 18. Slopes Areas Integration
  246.    wt: 2:   Chapter 17. Area Approximation
  247.    wt: 2:   Chapter 16. Velocity Approximation
  248.    wt: 2:   Chapter 15. Slope Approximation
  249.    wt: 2:   Chapter 13. Acceleration
  250.    wt: 2:   Chapter 12. Units and Slopes
  251.    wt: 2:   Chapter 11. Graphing Slope versus Position
  252.    wt: 2:   Chapter 10 Slopes and Units
  253.    wt: 2:   Chapter 8. Slope Interpretation
  254.    wt: 2:   Chapter 7 Slopes and Velocity
  255.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  256.    wt: 2:   Chapter 5. Slope Sign Tests
  257.    wt: 2:   Chapter 4. More Slope Sign Analysis
  258.    wt: 2:   Chapter 3. Slope Sign Analysis
  259.    wt: 2:   Chapter 2. Slopes and Ski Trails
  260.    wt: 2:   Foreword
  261.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  262.    wt: 2:   Chapter 3 Algebra Starter Lessons
  263.    wt: 1:   J LAMP Introduction Extrinsic Origins
  264.    wt: 1:   I LAMP Introduction Study Habits
  265.    wt: 1:   H LAMP Introduction Instructional Concepts
  266.    wt: 1:   G LAMP Introduction Problem Solving Skills
  267.    wt: 1:   F LAMP Introduction Prerequisites
  268.    wt: 1:   E LAMP Introduction Modern Mathematics
  269.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  270.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  271.    wt: 1:   A Introduction Objectives
  272.    wt: 1:   Skills Chapter 5 Calculus
  273.    wt: 1:   Ramblings Introduction Algebra Essay
  274.    wt: 1:   Skills Chapter 0 Introduction
  275.    wt: 1:   chapitre 01 00 Introduction
  276.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  277.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  278.    wt: 1:   1 Geometric Introduction of Function Notation
  279.    wt: 1:   Introduction Reading Guide
  280.    wt: 1:   6 quadratics numerical approach
  281.    wt: 1:   1 Calculator Starter Exercises
  282.    wt: 1:   7 Links Lessons Elsewhere
  283.    wt: 1:   2 Radian Measure Numerical Value of one degree
  284.    wt: 1:   1 Degrees and Radians Introduction
  285.    wt: 1:   12 Links Lessons elsewhere
  286.    wt: 1:   1 Numerical view of lines and their equations
  287.    wt: 1:   1 Squares and Square Roots Introduction
  288.    wt: 1:   2 Least Common Multiple LCM intro via list method
  289.    wt: 1:   1 Least Common Multiples LCM Introduction
  290.    wt: 1:   4 video Prime Factorization Introduction
  291.    wt: 1:   1 Intro of Kids To Time Date Skills
  292.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  293.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  294.    wt: 1:   G.5 Motions With Bounded Velocities
  295.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  296.    wt: 1:   G.3 Constant Difference Theorem Proof
  297.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  298.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  299.    wt: 1:   F.5b Extreme Value Theorem
  300.    wt: 1:   F.5a Equicontinuity Theorems
  301.    wt: 1:   F.4 Finite Covering Theorem
  302.    wt: 1:   F.3 Intermediate Value Theorem
  303.    wt: 1:   F.2 Closed Range Theorem
  304.    wt: 1:   F.1 What Functions are Continuous
  305.    wt: 1:   E1 Error Control Inequalities
  306.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  307.    wt: 1:   C Triangle Inequalities
  308.    wt: 1:   B3 Bolzano Weierstrass Theorem
  309.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  310.    wt: 1:   PostScript For and Against Decimal Perspectives
  311.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  312.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  313.    wt: 1:   Chapter 1 Introduction
  314.    wt: 1:   Chapter 1 Introduction
  315.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  316.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  317.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  318.    wt: 1:   More Algebra and Slope based Calculus Preview
  319.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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